## Found 1,456 Documents (Results 1–100)

100
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### Linear complexity of some sequences derived from hyperelliptic curves of genus 2. (English)Zbl 07513134

MSC:  11G20 11K45 11T71
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### Number of rational points of elliptic curves. (English)Zbl 07490779

MSC:  11G05 14G05 11H06
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### On quartic Diophantine equations with trivial solutions in the Gaussian integer. (English)Zbl 07477347

MSC:  11D25 11G05 11D45
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### Computing representation matrices for the action of Frobenius on cohomology groups. (English)Zbl 1473.14046

MSC:  14G17 11G20 11Y40
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### Class number problem for a family of real quadratic fields. (English)Zbl 1483.11111

MSC:  11G05 11R11 11R29
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### Elliptic curves with all quartic twists of the same root number. (English)Zbl 07473072

MSC:  11G05 11G07
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### Diophantine geometry on curves over function fields. (English)Zbl 1475.14048

Ji, LizhenTung (ed.) et al., Moduli spaces and locally symmetric spaces. Based on two workshops, Morningside Center of Mathematics, Beijing, China, February 2017 and March 2019. Somerville, MA: International Press; Beijing: Higher Education Press. Surv. Mod. Math. 16, 1-38 (2021).

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### Rational points of the symmetric diagonal equations. (English)Zbl 07421716

MSC:  11D45 11G05
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### Arithmetic, geometry, cryptography and coding theory, AGC2T, 17th international conference, Centre International de Rencontres Mathématiques, Marseilles, France, June 10–14, 2019. (English)Zbl 1475.11004

Contemporary Mathematics 770. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5426-5/pbk; 978-1-4704-6426-4/ebook). xiii, 303 p. (2021).
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### Heights of points on elliptic curves over $$\mathbb{Q}$$. (English)Zbl 1483.11114

MSC:  11G05 11G50
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### An application of the arithmetic of elliptic curves to the class number problem for quadratic fields. (English)Zbl 1477.11182

MSC:  11R11 11R29 11G05
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### The $$a$$-number of Jacobians of certain maximal curves. (English)Zbl 07391654

MSC:  11G20 11M38
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### Square curious numbers. (English)Zbl 07379163

MSC:  11A63 11A07 11G05
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### Geometric approach to $$b$$-symbol Hamming weights of cyclic codes. (English)Zbl 1475.94201

MSC:  94B15 94B65 11T71
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### Notes on the $$k$$-rational distance problem. (English)Zbl 1473.11080

MSC:  11D72 11G30
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### The Hasse invariant of the Tate normal form $$E_5$$ and the class number of $$\mathbb{Q}(\sqrt{-5l})$$. (English)Zbl 1479.11098

MSC:  11G05 11G15 11R29
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### Near miss $$abc$$-triples in compactly bounded subsets. (English)Zbl 1468.11129

MSC:  11G05 11D75
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### The twisted forms of a semisimple group over an $$\mathbb{F}_q$$-curve. (English. French summary)Zbl 07359127

MSC:  11G20 11G45 11R29
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### Hyperbolic congruent numbers. (English)Zbl 1481.11029

MSC:  11D09 11D45 11G05
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### On elliptic curves with complex multiplication and root numbers. (English)Zbl 1479.11096

MSC:  11G05 11G07
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### Cyclotomic torsion points in elliptic schemes. (English)Zbl 07333831

MSC:  11G05 11U09
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### On $$\theta$$-congruent numbers over real number fields. (English)Zbl 1468.11124

MSC:  11G05 11R21 11R16
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### On oriented supersingular elliptic curves. (English)Zbl 1469.11177

MSC:  11G07 11Z05
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### On sparse geometry of numbers. (English)Zbl 1462.11054

MSC:  11H06 52C07 11G05
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### Congruent number problem and Goldfeld conjecture. (Chinese. English summary)Zbl 07494841

MSC:  11G05 11G40
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### A short-list of pairing-friendly curves resistant to special TNFS at the 128-bit security level. (English)Zbl 1481.94104

Kiayias, Aggelos (ed.) et al., Public-key cryptography – PKC 2020. 23rd IACR international conference on practice and theory of public-key cryptography, Edinburgh, UK, May 4–7, 2020. Proceedings. Part II. Cham: Springer. Lect. Notes Comput. Sci. 12111, 535-564 (2020).
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### Modified Gaudry-Schost algorithm for the two-dimensional discrete logarithm problem. (English)Zbl 1470.11318

MSC:  11Y16 11G20 94A60
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### Counting points on superelliptic curves in average polynomial time. (English)Zbl 1472.11322

Galbraith, Steven D. (ed.), ANTS XIV. Proceedings of the fourteenth algorithmic number theory symposium, Auckland, New Zealand, virtual event, June 29 – July 4, 2020. Berkeley, CA: Mathematical Sciences Publishers (MSP). Open Book Ser. 4, 403-422 (2020).
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### Lifting low-gonal curves for use in Tuitman’s algorithm. (English)Zbl 1457.11090

Galbraith, Steven D. (ed.), ANTS XIV. Proceedings of the fourteenth algorithmic number theory symposium, Auckland, New Zealand, virtual event, June 29 – July 4, 2020. Berkeley, CA: Mathematical Sciences Publishers (MSP). Open Book Ser. 4, 109-125 (2020).
MSC:  11G20 11Y99 14Q05
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### Faster computation of isogenies of large prime degree. (English)Zbl 1469.11479

Galbraith, Steven D. (ed.), ANTS XIV. Proceedings of the fourteenth algorithmic number theory symposium, Auckland, New Zealand, virtual event, June 29 – July 4, 2020. Berkeley, CA: Mathematical Sciences Publishers (MSP). Open Book Ser. 4, 39-55 (2020).
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### Elliptic net scalar multiplication upon Koblitz curves. (English)Zbl 1461.11171

MSC:  11T71 11G05 14G50
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### Rational points on curves over finite fields. With contributions by Everett Howe, Joseph Oesterlé and Christophe Ritzenthaler. Edited by Alp Bassa, Elisa Lorenzo García, Christophe Ritzenthaler and René Schoof. (English)Zbl 1475.11002

Documents Mathématiques 18. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-923-4/hbk). x, 187 p. (2020).

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### Hyperbolicity of varieties of log general type. (English)Zbl 1470.11179

Nicole, Marc-Hubert (ed.), Arithmetic geometry of logarithmic pairs and hyperbolicity of moduli spaces. Hyperbolicity in Montréal. Based on three workshops, Montréal, Canada, 2018–2019. Cham: Springer. CRM Short Courses, 197-247 (2020).
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### Two pearls from number theory: congruent numbers and the distribution of prime numbers. (Zwei Perlen der Zahlentheorie: kongruente Zahlen und Primzahlverteilung.) (German)Zbl 1475.11012

MSC:  11A41 11G05

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### Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves. (English)Zbl 1456.11101

MSC:  11G05 11R29
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### Critical $$L$$-values for some quadratic twists of Gross curves. (English)Zbl 1471.11186

MSC:  11G05 11G40 11Y40
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### The Fermat cubic and quartic curves over cyclic fields. (English)Zbl 1474.14041

MSC:  14G25 11D25 11G05
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### Root number of twists of an elliptic curve. (English. French summary)Zbl 1459.11133

MSC:  11G05 11G07
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### Explicit arithmetic of Jacobians of generalized Legendre curves over global function fields. (English)Zbl 1465.11002

Memoirs of the American Mathematical Society 1295. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4219-4/pbk; 978-1-4704-6253-6/ebook). v, 131 p. (2020).
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MSC:  11G05
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### Towards Hilbert’s tenth problem for rings of integers through Iwasawa theory and Heegner points. (English)Zbl 1469.11168

MSC:  11G05 11U05
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### On class number divisibility of number fields and points on elliptic curves. (English)Zbl 1436.11133

Chakraborty, Kalyan (ed.) et al., Class groups of number fields and related topics. Collected papers presented at the first international conference, ICCGNFRT, Harish-Chandra Research Institute, Allahabad, India, September 4–7, 2017. Singapore: Springer. 109-112 (2020).
MSC:  11R29 11G05
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### Elliptic curves. 2nd revised and updated edition. (English)Zbl 1446.14001

Hackensack, NJ: World Scientific (ISBN 978-981-12-2183-5/hbk; 978-981-12-2185-9/ebook). x, 308 p. (2020).
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### Joint distribution for the Selmer ranks of the congruent number curves. (English)Zbl 07217123

MSC:  11G05 14H52 11N45
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### Normal bases from 1-dimensional algebraic groups. (English)Zbl 1462.11111

MSC:  11T30 11T24 11G20
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### Ranks of elliptic curves over $$\mathbb{Z}_p^2$$-extensions. (English)Zbl 1469.11424

MSC:  11R23 11G05
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### The average size of the 3-isogeny Selmer groups of elliptic curves $$y^2 = x^3 + k$$. (English)Zbl 1458.11091

MSC:  11G05 11R45 11E76
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### A shifted sum for the congruent number problem. (English)Zbl 1475.11173

Reviewer: Lee Troupe (Macon)
MSC:  11N37 11G05
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### Some notes on the multiplicative order of $$\alpha+\alpha^{-1}$$ in finite fields of characteristic two. (English)Zbl 1449.11113

MSC:  11T30 11G20 37P55
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MSC:  11G05
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### Class number divisibility for imaginary quadratic fields. (English)Zbl 1448.11200

MSC:  11R29 11G05 11G40
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### Class groups of number fields and related topics. Collected papers presented at the first international conference, ICCGNFRT, Harish-Chandra Research Institute, Allahabad, India, September 4–7, 2017. (English)Zbl 1444.11004

Singapore: Springer (ISBN 978-981-15-1513-2/hbk; 978-981-15-1514-9/ebook). xii, 178 p. (2020).
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### Construction of strong elliptic curves suitable for cryptographic applications. (English)Zbl 1470.11155

MSC:  11G05 11T71 94A60
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### Growth of the analytic rank of modular elliptic curves over quintic extensions. (English)Zbl 1468.11126

MSC:  11G05 11N45 11R21
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